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12x-3z=6400+12y
Add 12y to both sides.
12x=6400+12y+3z
Add 3z to both sides.
12x=12y+3z+6400
The equation is in standard form.
\frac{12x}{12}=\frac{12y+3z+6400}{12}
Divide both sides by 12.
x=\frac{12y+3z+6400}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{z}{4}+y+\frac{1600}{3}
Divide 6400+12y+3z by 12.
-12y-3z=6400-12x
Subtract 12x from both sides.
-12y=6400-12x+3z
Add 3z to both sides.
-12y=6400+3z-12x
The equation is in standard form.
\frac{-12y}{-12}=\frac{6400+3z-12x}{-12}
Divide both sides by -12.
y=\frac{6400+3z-12x}{-12}
Dividing by -12 undoes the multiplication by -12.
y=-\frac{z}{4}+x-\frac{1600}{3}
Divide 6400-12x+3z by -12.